Tensor Network Decoder with Accounting for Correlated Noise

3. The system of claim 1, wherein the first format of the model describing noise correlations between qubits of the two-dimensional code is a hypergraph format.

5. The system of claim 3, wherein the hypergraph is determined based on a theory-based model and provided for use in generating the first tensor network describing the noise correlations between qubits of the two-dimensional code.

13. The method of claim 12, wherein the syndrome measurements and the parameters describing the logical equivalence class are applied to unmatched legs of stabilizer and boundary tensors of the second tensor network, respectively.

14. The method of claim 13, wherein correlated error rates are applied to legs of qubits tensors of the second tensor network that are contracted with tensors of the first tensor network describing noise correlations between qubits of the two-dimensional code.